123310944 has 144 divisors (see below), whose sum is σ = 374779440. Its totient is φ = 39421440.

The previous prime is 123310933. The next prime is 123310991. The reversal of 123310944 is 449013321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×123310944² = 30411177820342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2089987 + ... + 2090045.

It is an arithmetic number, because the mean of its divisors is an integer number (2602635).

Almost surely, 2^123310944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187389720).

123310944 is an abundant number, since it is smaller than the sum of its proper divisors (251468496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123310944 is an equidigital number, since it uses as much as digits as its factorization.

123310944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123310944 is about 11104.5460960816. The cubic root of 123310944 is about 497.7377048121.

The spelling of 123310944 in words is "one hundred twenty-three million, three hundred ten thousand, nine hundred forty-four".